70 



SECULAR VARIATIONS OP THE ELEMENTS OP 



For the root #=5".4983682, we get, 



1840691 „ , 98053.1 , T . 10390430 __ 



10 20 "' a ~ ' 10 

 Whence /?=86° 57' 2".7; log. iV=9.2489632. 



10 2 



N =+0.1774036; 

 N' =+0.00811605; 

 N" =+0.0050546 ; 

 N'" =+0.00078565 ; 



For the root # x =7".404067, we get, 



, 1842718, _ 



-Nil Vi=- 



Whence /3 X 



I 1Q 20 -i. »i— i 10 : 

 23° 1' 6".9 ; log. ^=8.3783427 



N* r =— 0.000008651; 

 N r =—0.000007741 ; 

 N TI =+0.0000033452; 

 ^"'=+0.00000006205. 



4337257, T 197199700 __. 



N il z i= TH20 N i- 



10 2 



N x =+0.0238970 

 NJ =—0.0193047 

 Nf =—0.0144699 

 N; n =—0.0024433 



For the root # 2 =17".021165, we get, 



N X IV =+0.000010206 

 JV/ =+0.000010562 

 ^" = —0.000002565 

 iVi"=— 0.0000001085. 



51010670 „ 



-.---- ~^-„ — N 2 ,y 2 =- 



80108830 „ 3.698921 .„ 



N 2 , z 2 = — ^^ — N? 



1Q20 -'« U-Z I JQ20 ^'25 "2 ^q 



Whence /3 2 =327° 30' 44".5 ; log. iV 2 =97.4095166. 



K a =+0.00256754; 

 iV 2 '=— 0.0196090: 

 JV 2 " =+0.0190434; 

 ^'"=+0.0380997; 



For the root &=18".015863, we get, 



■" 137961060 AT 

 x 3— i Jq2o ^J 2/ 3 =- 10 



Whence /? 3 =137° 12' 28".8; log. ^=97.3840054 



N 2 IT =— 0.0000028671; 

 iV/ =—0.000017413 ; 

 tf," =+0.0000010662; 

 ^"=+0.00000007833. 



149026100 



^ 3 ; z 3 



8.388122 

 10 10 



W 



N 3 =+0.00242106 ; 

 NJ =—0.0204978 j 

 N 3 " =+0.0257905: 

 2^=— 0.0629592: 



For the root # 4 =0".6166917, we get, 

 , 3.359379 



-W r l 2/4=+ 



I 1Q10 -'4 ' ill— I 10 y 



Whence /? 4 =67° 56' 51".2; log. iV/ =95.8029370 



^=+0.0000013840; 

 NJ =+0.000018105; 

 N 3 VI =— 0.0000010064; 

 K T "=— 0.00000007473. 



1.360856 , Tjr 57058.06 



—#4"; z 4 = 



10 1 



w 



N t =+0.000007733 

 ^'=+0.000011770 

 Nl' =+0.000013664 

 iV/=+0.000021955 



N/ r =+0.000063524; 

 NJ =+0.000071663 ; 

 N/ 1 =+0.00155748; 

 .^"=+0,01003740. 



